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Finding the Fourth Proportional to 257,508.44, 386,188.85 and 77,611.29

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Solution

The fourth proportional to 257,508.44, 386,188.85 and 77,611.29 is: 116,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,508.44 : 386,188.85 = 77,611.29 : x
  2. Step 2: Convert to fraction form
    257,508.44/386,188.85 = 77,611.29/x
  3. Step 3: Cross multiply
    257,508.44x = 386,188.85 × 77,611.29
  4. Step 4: Simplify right side
    257,508.44x = 29,972,614,832.12
  5. Step 5: Solve for x
    x = 29,972,614,832.12/257,508.44
  6. Step 6: Final answer
    x = 116,394.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.